Answer:
[tex]5x-17[/tex]
Step-by-step explanation:
In order to use the distributive property to solve this, you must first multiply both terms out completely before subtracting them. From there you can do the designated operations combining x-terms(variable x) and constants(numbers).
Solving:
Let's evaluate each multiplication separate so there is no confusion.
[tex]2(7x-4 ) = 2 \times 7x - 2 \times4 \Rightarrow \boxed{14x - 8}[/tex]
[tex]9(x+1 ) = 9 \times x + 9 \times1 \Rightarrow \boxed{9x +9}[/tex]
Now subtract the two(put parenthesis around each term):
[tex](14x-8)-(9x+9)[/tex]
[tex]=(14x-8)-9x-9[/tex]
[tex]=\[14x - 9x - 8 - 9\][/tex]
[tex]=\boxed{5x - 17}[/tex]
